ASVAB Math Knowledge Practice Test 671906 Results

Your Results Global Average
Questions 5 5
Correct 0 2.52
Score 0% 50%

Review

1

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π d

c = π r

c = π r2

c = π d2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


2

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the area is length x width

the lengths of all sides are equal

all interior angles are right angles

the perimeter is the sum of the lengths of all four sides


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


3

What is the circumference of a circle with a diameter of 4?

71% Answer Correctly
17π
14π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 4π


4

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

slope

x-intercept

\({\Delta y \over \Delta x}\)

y-intercept


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.


5

Factor y2 - 7y - 18

54% Answer Correctly
(y + 9)(y + 2)
(y - 9)(y - 2)
(y - 9)(y + 2)
(y + 9)(y - 2)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -18 as well and sum (Inside, Outside) to equal -7. For this problem, those two numbers are -9 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 7y - 18
y2 + (-9 + 2)y + (-9 x 2)
(y - 9)(y + 2)